40612

Appears in sequences

• Numbers k such that 2*5^k - 3 is prime.at n=22A057915
• Ninth column of quintinomial coefficients.at n=9A064058
• Reverse of largest prime factor of n = smallest prime factor of n+1; a(1)=1.at n=28A071393
• a(n) = n*(n+1)*(n+2)*(n+3)*(n+4)*(2 + 4*n + n^2)/840.at n=9A101097
• The 4-tuple (2, ((2*n+1)^2-1)/2, ((2*n+3)^2-1)/2, a(n)), where a(n) = 4*(3 + 20n + 42n^2 + 32n^3 + 8n^4), has Diophantus's property that the product of any two distinct terms plus one is a square.at n=4A160372
• a(n) equals the sum of path counts in the (right-aligned Ferrers plots of) the partitions of n.at n=23A180684
• Number of horizontal, vertical, diagonal and antidiagonal neighbor colorings of the odd squares of an nX3 array with new integer colors introduced in row major order.at n=7A215740
• T(n,k)=Number of horizontal, vertical, diagonal and antidiagonal neighbor colorings of the odd squares of an nXk array with new integer colors introduced in row major order.at n=47A215745
• T(n,k)=Number of horizontal, vertical, diagonal and antidiagonal neighbor colorings of the odd squares of an nXk array with new integer colors introduced in row major order.at n=52A215745
• Number of horizontal, vertical, diagonal and antidiagonal neighbor colorings of the even squares of an nX3 array with new integer colors introduced in row major order.at n=7A215844
• T(n,k) is the number of horizontal, vertical, diagonal and antidiagonal neighbor colorings of the even squares of an n X k array with new integer colors introduced in row major order.at n=47A215847
• T(n,k) is the number of horizontal, vertical, diagonal and antidiagonal neighbor colorings of the even squares of an n X k array with new integer colors introduced in row major order.at n=52A215847
• Row 4 of array in A265080.at n=13A265081
• Number of triangles larger than size=1 in a matchstick-made hexagon with side length n.at n=23A307253
• Expansion of Product_{k>=1} (1-q^(2*k))/(1-q^k)^4.at n=13A350642